Abstract and Applied Analysis

Long-Term Behavior of Solutions of the Difference Equation x n + 1 = x n 1 x n 2 1

Candace M. Kent, Witold Kosmala, and Stevo Stević

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Abstract

We investigate the long-term behavior of solutions of the following difference equation: x n + 1 = x n 1 x n 2 1 , n 0 , where the initial values x - 2 , x - 1 , and x 0 are real numbers. Numerous fascinating properties of the solutions of the equation are presented.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 152378, 17 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170933

Digital Object Identifier
doi:10.1155/2010/152378

Mathematical Reviews number (MathSciNet)
MR2746011

Zentralblatt MATH identifier
1208.39022

Citation

Kent, Candace M.; Kosmala, Witold; Stević, Stevo. Long-Term Behavior of Solutions of the Difference Equation $x_{n+1}=x_{n-1}x_{n-2}-1$. Abstr. Appl. Anal. 2010 (2010), Article ID 152378, 17 pages. doi:10.1155/2010/152378. https://projecteuclid.org/euclid.aaa/1313170933


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